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A note on Kuttler-Sigillito's inequalities. (arXiv:1709.09841v1 [math.SP])

来源于:arXiv
We provide several inequalities between eigenvalues of some classical eigenvalue problems on domains with $C^2$ boundary in complete Riemannian manifolds. A key tool in the proof is the generalized Rellich identity on a Riemannian manifold. Our results in particular extend some inequalities due to Kutller and Sigillito from subsets of $\mathbb{R}^2$ to the manifold setting. 查看全文>>